The linear minimum mean square error (LMMSE) estimator estimates the signal out of a noisy MR adquisition. The method automatically estimates the noise level from background. It is based on a Rician noise assumption, which is valid for single coil adquisitions (and sometimes in SENSE).
The whole method is described in
S Aja-Fernández, M. Niethammer, M. Kubicki, M. E. Shenton, C.F. Westin, "Restoration of DWI data using a Rician LMMSE estimator". IEEE Tr. on Medical Imag. Vol. 27, No. 10, Oct. 2008, pp. 1389-1403.
SANTIAGO AJA-FERNANDEZ (2022). LMMSE filter for Rician MRI data (https://www.mathworks.com/matlabcentral/fileexchange/36741-lmmse-filter-for-rician-mri-data), MATLAB Central File Exchange. Retrieved .
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